Hausdorff dimension of random fractals with overlaps

Z. G. Yu, V. V. Anh, K. S. Lau
2002 Bulletin of the Australian Mathematical Society  
This paper considers random fractals generated by contractive transformations which satisfy a separation condition weaker than the open set condition. This condition allows overlaps in the iterations. Estimates of the Hausdorff dimension of this kind of random fractals are obtained.
doi:10.1017/s0004972700020359 fatcat:ptatxkjdi5gnpdn4zi54zkmrkq